def main():
    N = int(input())
    S = input()

    lst = [0] * N
    dic = dict()
    stack = []
    apnd = stack.append
    pop_ = stack.pop
    i = 1
    for j, s in enumerate(S):
        if s == '(':
            apnd(i)
            lst[j] = i
            dic[i] = dic.get(i, []) + [j]
            i += 1
        else:
            x = pop_()
            lst[j] = x
            dic[x] = dic[x] + [j]

    for i, j in enumerate(lst):
        a, b = dic[j]
        x = a ^ b ^ i
        print(x + 1)

main()